| Laboratory | Laboratory of methods of control of complex dynamic systems |
| Phone | (+994 12) 510-93-72 |
| Fax | (+994 12) 539-28-26 |
| Head of laboratory | Mansimov Kamil Bayramali Doctor of Mathematics, Professor |
| Main research areas | Investigation of the theory of quality of simple and multilevel deterministic and stochastic optimal control problems with lumped and distributed parameters. |
| Main scientific achievements | - A new universal method has been proposed for the study of singular controls for optimal control problems with aggregated and distributed parameters and obtaining the necessary high-order optimality conditions; - The necessary first-order optimality conditions have been obtained for optimal control problems with aggregated and distributed parameters of a variable structure and singular controls have been investigated; - The necessary optimality conditions for non-smooth optimal control problems have been obtained; - Krotov's sufficient optimality conditions have been found for discrete two-parameter optimal control problems and necessary high-order optimality conditions have been obtained; - The necessary optimality conditions have been derived for nonlocal boundary value problems of optimal control; - The necessary optimality conditions for optimal control problems described by Volterra-type differential integral equations have been proven; - The problem of optimal control for the system of Volterra type difference equations has been posed and the necessary optimality conditions have been derived; - Singular controls in Rosser-type optimal control problems have been investigated; - Hybrid Rosser-type optimal control problems have been investigated; - The necessary optimality conditions have been proven in continuous-discrete optimal control problems; - The representation of the solution of the system of linear heterogeneous stochastic Ito equations with delay using the Cauchy matrix has been found; - First- and second-order necessary optimality conditions have been found for the stochastic optimal control problems described by systems of Ito equations; - Using the Riemann matrix, the representation of the solution of a nonlinear Goursat-Darboux system of second-order stochastic hyperbolic equations has been found; - First- and second-order optimality conditions have been found for optimal control problems described by stochastic Goursat-Darboux systems. |
